36 #ifndef IIR1_MATHSUPPLEMENT_H
37 #define IIR1_MATHSUPPLEMENT_H
45 template class DllExport std::complex<double>;
46 template class DllExport std::complex<float>;
51 const double doublePi =3.1415926535897932384626433832795028841971;
52 const double doublePi_2 =1.5707963267948966192313216916397514420986;
53 const double doubleLn2 =0.69314718055994530941723212145818;
54 const double doubleLn10 =2.3025850929940456840179914546844;
56 typedef std::complex<double> complex_t;
57 typedef std::pair<complex_t, complex_t> complex_pair_t;
59 template<
typename Real>
60 inline std::complex<Real> solve_quadratic_1 (Real a, Real b, Real c)
62 return (-b + sqrt (std::complex<Real> (b*b - 4*a*c, 0))) / (2. * a);
65 template<
typename Real>
66 inline std::complex<Real> solve_quadratic_2 (Real a, Real b, Real c)
68 return (-b - sqrt (std::complex<Real> (b*b - 4*a*c, 0))) / (2. * a);
71 inline const complex_t infinity()
73 return complex_t (std::numeric_limits<double>::infinity());
76 inline const complex_t adjust_imag (
const complex_t& c)
78 if (fabs (c.imag()) < 1e-30)
79 return complex_t (c.real(), 0);
84 template <
typename Ty,
typename To>
85 inline std::complex<Ty> addmul (
const std::complex<Ty>& c,
87 const std::complex<To>& c1)
89 return std::complex <Ty> (
90 c.real() + v * c1.real(), c.imag() + v * c1.imag());
93 template <
typename Ty>
94 inline std::complex<Ty> recip (
const std::complex<Ty>& c)
96 Ty n = 1.0 / std::norm (c);
98 return std::complex<Ty> (n * c.real(), n * c.imag());
101 template <
typename Ty>
102 inline Ty asinh (Ty x)
104 return log (x + std::sqrt (x * x + 1 ));
107 template <
typename Ty>
108 inline Ty acosh (Ty x)
110 return log (x + std::sqrt (x * x - 1));
113 template <
typename Ty>
114 inline bool is_nan (Ty v)
120 inline bool is_nan<complex_t> (complex_t v)
122 return Iir::is_nan (v.real()) || Iir::is_nan (v.imag());